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Avtomatika i Telemekhanika, 2010, Issue 12, Pages 43–56 (Mi at1115)  
This article is cited in 5 scientific papers (total in 5 papers)

Stochastic Systems

Characterization of the stationary distribution of the batch-transfer networks as a product of biased geometric distributions

Yu. V. Malinkovskiia, E. V. Korobeinikovab

a Gomel State University, Gomel, Belarus
b Gomel State Technical University, Gomel, Belarus
Full-text PDF (207 kB) Citations (5)
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Abstract: Consideration was given to the class of exponential queuing networks with batch arrivals and batch servicing. The messages arriving to the network nodes form random-size batches of customers associated with these nodes. Upon completion of servicing a current batch, it discharges the network and sends a message, if any, to the rest of the nodes according to some routing matrix. The necessary and sufficient conditions under which the stationary distribution of the network states is multiplicative were established in terms of the isolated nodes placed in a dummy random medium. These conditions underlie characterization of the stationary distribution in the form of biased geometric distributions.
Presented by the member of Editorial Board: B. G. Volik

Received: 01.07.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 12, Pages 2534–2546
DOI: https://doi.org/10.1134/S0005117910120040
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Malinkovskii, E. V. Korobeinikova, “Characterization of the stationary distribution of the batch-transfer networks as a product of biased geometric distributions”, Avtomat. i Telemekh., 2010, no. 12, 43–56; Autom. Remote Control, 71:12 (2010), 2534–2546
Citation in format AMSBIB
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\paper Characterization of the stationary distribution of the batch-transfer networks as a~product of biased geometric distributions
\jour Avtomat. i Telemekh.
\yr 2010
\issue 12
\pages 43--56
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\zmath{https://zbmath.org/?q=an:1214.90034}
\transl
\jour Autom. Remote Control
\yr 2010
\vol 71
\issue 12
\pages 2534--2546
\crossref{https://doi.org/10.1134/S0005117910120040}
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  • https://www.mathnet.ru/eng/at1115
  • https://www.mathnet.ru/eng/at/y2010/i12/p43
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:450
    Full-text PDF :120
    References:81
    First page:15
     
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